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Finding the Fourth Proportional to 279,661.76, 419,260.40 and 111,078.08

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Solution

The fourth proportional to 279,661.76, 419,260.40 and 111,078.08 is: 166,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,661.76 : 419,260.40 = 111,078.08 : x
  2. Step 2: Convert to fraction form
    279,661.76/419,260.40 = 111,078.08/x
  3. Step 3: Cross multiply
    279,661.76x = 419,260.40 × 111,078.08
  4. Step 4: Simplify right side
    279,661.76x = 46,570,640,252.03
  5. Step 5: Solve for x
    x = 46,570,640,252.03/279,661.76
  6. Step 6: Final answer
    x = 166,524.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.